Circles Inside a Square

You have 8 circles of equal size and you want to pack them inside a square. You want to minimize the size of the square. The following figure shows the minimum way of packing 8 circles inside a square:

Given the radius $r$, find the area of the smallest square into which 8 circles of that radius can be packed.

The first line contains a positive integer $n$, the number of test cases. Each test case is a single line containing a positive real number $r$, the radius. $r$ is between 0.001 and 1000, inclusive.

For each test case, output the area of the smallest square that can hold 8 circles of radius $r$. Print 5 digits after the decimal point. Your answer is correct if it is within $\pm 0.00001$ of the judge's answer.